opposite angles in a quadrilateral inscribed in a circle are supplementary (they add up to 180 degrees)
In this quadrilateral, point O and point Q are opposite to each other, meaning they add up to 180 degrees
So,
O+Q=180
x+17 + 6x-5 =180
7x+12=180
7x=168
x=24
you are trying to find the measure of angle ROP and this is the same as angle O which was given to be x+17
But now you know x is 24 degrees so x+17 = 24+17 = 41 degrees
